378 citations
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Showing 2011Show all
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math.CO2011
On circuits and serial symmetric basis-exchange in matroids
Daniel Kotlar
The way circuits, relative to a basis, are affected as a result of exchanging a basis element, is studied. As consequences, it is shown that three consecutive symmetric exchanges e…
math.CO2011★ 1 cited
A weak version of Rota's basis conjecture for odd dimensions
Ron Aharoni, Daniel Kotlar
The Alon-Tarsi Latin square conjecture is extended to odd dimensions by stating it for reduced Latin squares (Latin squares having the identity permutation as their first row and f…
math.CO2011★ 1 cited
On Serial Symmetric Exchanges of Matroid Bases
Daniel Kotlar, Ran Ziv
We study some properties of a serial (i.e. one-by-one) symmetric exchange of elements of two disjoint bases of a matroid. We show that any two elements of one base have a serial sy…